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Finding the Fourth Proportional to 656.97, 984.05 and 410.25

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Solution

The fourth proportional to 656.97, 984.05 and 410.25 is: 614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.97 : 984.05 = 410.25 : x
  2. Step 2: Convert to fraction form
    656.97/984.05 = 410.25/x
  3. Step 3: Cross multiply
    656.97x = 984.05 × 410.25
  4. Step 4: Simplify right side
    656.97x = 403,704.46
  5. Step 5: Solve for x
    x = 403,704.46/656.97
  6. Step 6: Final answer
    x = 614.49

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.